10424295256320 has 432 divisors, whose sum is σ = 39365291347200. Its totient is φ = 2525849518080.

The previous prime is 10424295256313. The next prime is 10424295256343. The reversal of 10424295256320 is 2365259242401.

10424295256320 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 2 + 9 + 5 + 2 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269767561 + ... + 269806199.

It is an arithmetic number, because the mean of its divisors is an integer number (91123359600).

Almost surely, 2^{10424295256320} is an apocalyptic number.

10424295256320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424295256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682645673600).

10424295256320 is an abundant number, since it is smaller than the sum of its proper divisors (28940996090880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10424295256320 is a wasteful number, since it uses less digits than its factorization.

10424295256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40806 (or 40789 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 10424295256320 in words is "ten trillion, four hundred twenty-four billion, two hundred ninety-five million, two hundred fifty-six thousand, three hundred twenty".